Abstract:The present paper deals with the dynamics of spatially flat Friedmann-Lemaître-Robertson-Walker (F LRW ) cosmological model with a time varying cosmological constant Λ where Λ evolves with the cosmic time t through the Hubble parameter H, that is, Λ(H). We consider that the model dynamics has a re-
“…In fact, Eq. (3) shows that eventual variations of the couplings in the set {G, c, Λ} are coupled to matter fields through the stress-energy tensor T µν . Accordingly, matter tells both spacetime how to curve and the couplings how to run; conversely, spacetime and the co-varying couplings determine the dynamics of the matter fields.…”
Section: Cpc Framework In Cosmologymentioning
confidence: 99%
“…Notice that a varying Λ will complicate the solution of the General Constraint in Eq. (3). In actuality, we will have to specify the matter-energy content in order to resolve the GC and find the interdependence between the couplings.…”
Section: Cpc Framework In Cosmologymentioning
confidence: 99%
“…Refs. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] in the recent literature. This is a rather controversial topic [29,30,31].…”
The CPC (Covariant Physical Couplings) framework is a modified gravity set up assuming Einstein Field Equations wherein the quantities {G, c, Λ} are promoted to spacetime functions. Bianchi identity and the requirement of stress-energy tensor conservation entangle the possible variations of the couplings {G, c, Λ}, which are forced to co-vary as dictated by the General Constraint (GC). In this paper we explore a cosmological model wherein G, c and Λ are functions of the redshift respecting the GC of the CPC framework. We assume a linear parameterization of Λ in terms of the scale factor a. We use the ansatz Ġ/G = σ ( ċ/c) with σ = constant to deduce the functional forms of c = c(z) and G = G(z). We show that this varying-{G, c, Λ} model fits SNe Ia data and H(z) data with σ = 3. The model parameters can be constrained to describe dark energy at the background level.
“…In fact, Eq. (3) shows that eventual variations of the couplings in the set {G, c, Λ} are coupled to matter fields through the stress-energy tensor T µν . Accordingly, matter tells both spacetime how to curve and the couplings how to run; conversely, spacetime and the co-varying couplings determine the dynamics of the matter fields.…”
Section: Cpc Framework In Cosmologymentioning
confidence: 99%
“…Notice that a varying Λ will complicate the solution of the General Constraint in Eq. (3). In actuality, we will have to specify the matter-energy content in order to resolve the GC and find the interdependence between the couplings.…”
Section: Cpc Framework In Cosmologymentioning
confidence: 99%
“…Refs. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28] in the recent literature. This is a rather controversial topic [29,30,31].…”
The CPC (Covariant Physical Couplings) framework is a modified gravity set up assuming Einstein Field Equations wherein the quantities {G, c, Λ} are promoted to spacetime functions. Bianchi identity and the requirement of stress-energy tensor conservation entangle the possible variations of the couplings {G, c, Λ}, which are forced to co-vary as dictated by the General Constraint (GC). In this paper we explore a cosmological model wherein G, c and Λ are functions of the redshift respecting the GC of the CPC framework. We assume a linear parameterization of Λ in terms of the scale factor a. We use the ansatz Ġ/G = σ ( ċ/c) with σ = constant to deduce the functional forms of c = c(z) and G = G(z). We show that this varying-{G, c, Λ} model fits SNe Ia data and H(z) data with σ = 3. The model parameters can be constrained to describe dark energy at the background level.
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